Question 132
The diagonals of a rhombus are 8 cm and 15 cm. Find its side.
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Solution
Given, AC = 15 cm, BD = 8 cm.
Since, the diagonals of a rhombus bisect each other at 90∘, therefore in the ΔAOB, we have AB2=OA2+OB2⇒AB2=(152)2+(82)2=(7.5)2+(4)2=56.25+16⇒AB2=72.25⇒AB=√72.25⇒AB=8.5cm
Since it is a rhombus, the length of each side is 8.5 cm.